A joiner had two pieces of wood of the shapes and
relative proportions shown in the diagram.

He wished to cut them into
as few pieces as possible so that they could be fitted together,
without waste, to form a perfectly square table-top.

How should he have
done it?

There is no necessity to give measurements, for if the smaller
piece (which is half a square) be made a little too large or a little
too small it will not affect the method of solution.

See answer